Therefore, the equation of the line that passes through the points (-3, 6) and (-5, 9) in slope-intercept form is:
y = -3/2 x + 3/2
Explanation:
To find the equation of the line that passes through the points (-3, 6) and (-5, 9) in slope-intercept form (y = mx + b), we need to first find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-3, 6) and (x2, y2) = (-5, 9).
m = (9 - 6) / (-5 - (-3))
m = 3 / (-2)
m = -3/2
Now that we have the slope, we can use either of the two given points and the slope to find the y-intercept (b) of the line:
y = mx + b
6 = (-3/2)(-3) + b
6 = 9/2 + b
b = 6 - 9/2
b = 3/2